English

Some remarks on Mahler's classification in higher dimension

Number Theory 2016-06-21 v1

Abstract

We prove a number of results on the metric and non-metric theory of Diophantine approximation for Yu's multidimensional variant of Mahler's classification of transcendental numbers. Our results arise as applications of well known results in Diophantine approximation to the setting of Yu's classification.

Keywords

Cite

@article{arxiv.1606.06064,
  title  = {Some remarks on Mahler's classification in higher dimension},
  author = {Simon Kristensen and Steffen Højris Pedersen and Barak Weiss},
  journal= {arXiv preprint arXiv:1606.06064},
  year   = {2016}
}
R2 v1 2026-06-22T14:29:13.176Z